Classes
class	IncompleteCholeskyPreconditioner
	Preconditioner using incomplete Cholesky factorization. More...

class	JacobiPreconditioner
	Diagonal preconditioner. More...

class	Preconditioner
	Base class for conjugate gradient preconditioners. More...

class	SparseStencilMatrix
	Sparse, square matrix representing a 3D stencil operator of size STENCIL_SIZE. More...

struct	State
	Information about the state of a conjugate gradient solution. More...

class	Vector
	Lightweight, variable-length vector. More...

Typedefs
using	SizeType = Index32

using	SizeRange = tbb::blocked_range< SizeType >

using	VectorS = Vector< float >

using	VectorD = Vector< double >

Functions
template<typename ValueType >
State	terminationDefaults ()
	Return default termination conditions for a conjugate gradient solver. More...

template<typename PositiveDefMatrix >
State	solve (const PositiveDefMatrix &A, const Vector< typename PositiveDefMatrix::ValueType > &b, Vector< typename PositiveDefMatrix::ValueType > &x, Preconditioner< typename PositiveDefMatrix::ValueType > &preconditioner, const State &termination=terminationDefaults< typename PositiveDefMatrix::ValueType >())
	Solve Ax = b via the preconditioned conjugate gradient method. More...

template<typename PositiveDefMatrix , typename Interrupter >
State	solve (const PositiveDefMatrix &A, const Vector< typename PositiveDefMatrix::ValueType > &b, Vector< typename PositiveDefMatrix::ValueType > &x, Preconditioner< typename PositiveDefMatrix::ValueType > &preconditioner, Interrupter &interrupter, const State &termination=terminationDefaults< typename PositiveDefMatrix::ValueType >())
	Solve Ax = b via the preconditioned conjugate gradient method. More...

std::ostream &	operator<< (std::ostream &os, const State &state)

Typedef Documentation

using SizeRange = tbb::blocked_range<SizeType>

using VectorD = Vector<double>

using VectorS = Vector<float>

Function Documentation

std::ostream& openvdb::v13_0::math::pcg::operator<<	(	std::ostream &	os,
		const State &	state
	)

inline

State solve	(	const PositiveDefMatrix &	A,
		const Vector< typename PositiveDefMatrix::ValueType > &	b,
		Vector< typename PositiveDefMatrix::ValueType > &	x,
		Preconditioner< typename PositiveDefMatrix::ValueType > &	preconditioner,
		const State &	termination = `terminationDefaults<typename PositiveDefMatrix::ValueType>()`
	)

inline

Solve Ax = b via the preconditioned conjugate gradient method.

Parameters

A	a symmetric, positive-definite, N x N matrix
b	a vector of size N
x	a vector of size N
preconditioner	a Preconditioner matrix
termination	termination conditions given as a State object with the following fields: success ignored iterations the maximum number of iterations, with or without convergence relativeError the relative error \|\|b − Ax\|\| / \|\|b\|\| that denotes convergence absoluteError the absolute error \|\|b − Ax\|\| that denotes convergence

Exceptions

ArithmeticError if either x or b is not of the appropriate size.

State solve	(	const PositiveDefMatrix &	A,
		const Vector< typename PositiveDefMatrix::ValueType > &	b,
		Vector< typename PositiveDefMatrix::ValueType > &	x,
		Preconditioner< typename PositiveDefMatrix::ValueType > &	preconditioner,
		Interrupter &	interrupter,
		const State &	termination = `terminationDefaults<typename PositiveDefMatrix::ValueType>()`
	)

inline

Solve Ax = b via the preconditioned conjugate gradient method.

Parameters

A	a symmetric, positive-definite, N x N matrix
b	a vector of size N
x	a vector of size N
preconditioner	a Preconditioner matrix
termination	termination conditions given as a State object with the following fields: success ignored iterations the maximum number of iterations, with or without convergence relativeError the relative error \|\|b − Ax\|\| / \|\|b\|\| that denotes convergence absoluteError the absolute error \|\|b − Ax\|\| that denotes convergence
interrupter	an object adhering to the util::NullInterrupter interface with which computation can be interrupted

Exceptions

ArithmeticError	if either x or b is not of the appropriate size.
RuntimeError	if the computation is interrupted.

State openvdb::v13_0::math::pcg::terminationDefaults ( )

inline

Return default termination conditions for a conjugate gradient solver.